2506613928 has 64 divisors (see below), whose sum is σ = 7712664960. Its totient is φ = 661084416.

The previous prime is 2506613887. The next prime is 2506613953. The reversal of 2506613928 is 8293166052.

2506613928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2506613928² = 12566226768087178368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2506613928.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571675 + ... + 576042.

It is an arithmetic number, because the mean of its divisors is an integer number (120510390).

Almost surely, 2^2506613928 is an apocalyptic number.

2506613928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2506613928 is an abundant number, since it is smaller than the sum of its proper divisors (5206051032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2506613928 is a wasteful number, since it uses less digits than its factorization.

2506613928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147746 (or 1147742 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2506613928 is about 50066.0955937249. The cubic root of 2506613928 is about 1358.4046185614.

The spelling of 2506613928 in words is "two billion, five hundred six million, six hundred thirteen thousand, nine hundred twenty-eight".